The solution of x in the given expression 
is 4. However, if it is 
, it is 6.
<h3>What is the solution to algebraic expression?</h3>
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:
Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:
Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
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The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Answer:
2/3 = 5/8
Step-by-step explanation:
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
In this problem
2/3 = 5/8 -----> is not true
therefore
The figures are not similar
Hi my name is Fabian and 69% because 69 is a man which is multi colour hair
A budget is a periodical compilation of the estimated revenue earned and expenses incurred within a given time period
Monthly income calculation
James monthly income is calculated as follows;
Monthly income = 
The required <u>James' monthly personal budget </u>is presented as follows;
Based on the above monthly income, the monthly personal budget is found by entering the given values in a budget template as follows;
Savings 
$944.
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